Question

find the of LCM 12,16​

Answer 1

Answer:

Least common multiple (LCM) of 12 and 16 is 48.

Answer 2

Answer:

The lcm of 12 and 16​ is 48.

Step-by-step explanation:

Given: The numbers are 12 and 16​.

We have to find the lcm of the above numbers.

• As we know that lcm is the smallest common multiple of two or more numbers.

We are solving in the following way:

We have,

The numbers are 12 and 16​​.

First, we will find all prime factors for each number.

Prime Factorization of 12 is:

$2 \times 2 \times 3 => 2^2 \times3^1$

Prime Factorization of 16 is:

$2 \times 2 \times 2 \times 2 => 2^4$

For each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is:

2, 2, 2, 2, 3

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 2 \times 2 \times 3 = 48$

Therefore,

LCM(12, 16) = 48

NOTE:

Q. find the LCM  of 12,16​.